The next three lessons focus on three (3)
types of problems that may be solved using
the standard normal distribution.
(1)
problems that involve individual
values from a normally distributed
population (6.2)
(2) problems that involve a mean for
some sampl
CHAPTER 6
THE NORMAL DISTRIBUTION
6.1 NORMAL DISTRIBUTIONS
Many types of data will form a graph that is bell shaped. These
types of graphs are called normal curves.
There are many data sets described by natural phenomena whose
graphs produce normal curves
CHAPTER 1 The Nature of Probability and Statistics
STATISTICS is involved withDATA
Collecting data
Classifying data
Summarizing data
Analyzing data
Presenting data
Drawing conclusions about data
STATISTICS may be thought of as the science of data
ex
Chapter 3
Numerically Summarizing Data
3.1 Measures of Central Tendency
Garbage Collection The amount of garbage in millions of tons
collected over a 16-year period is shown.
29.7
48
58.4
37.9
47.3
57.2
55.8
43.5
32.9
53.7
46.1
50.1
36
52.8
46.4
52.7
Find
Many decisions in business, insurance, and
other real-life situations are made by
assigning probabilities to all possible
outcomes pertaining to the situation and
then evaluating the results.
Chapter 5 Discrete Probability Distributions
5.1 Probability Di
CHAPTER 7
CONFIDENCE INTERVALS AND
SAMPLE SIZE
Estimations play a very important role in
Inferential Statistics. The decisions that are
frequently made by either individuals or
corporate teams involve many speculations
regarding the statistics.
7.1 Confid
Chapter 4 Probability and Counting Rules
4.1 Sample Spaces and Probability
The study of probability focuses on measuring the
likelihood of an event occurring.
Probability plays an extremely important role in Statistics,
especially inferential statistics.
5.3 The Binomial Distribution
Consider the following problem:
A coin is tossed 3 times. Find the
probability of getting exactly two
heads.
cfw_HHH, HHT, HTH, HTT, TTT, TTH,
THT, THH
NOTE: The sample space took order
into consideration.
Problems like these
Chapter 8 Hypothesis Testing
Hypothesis Testing A decision-making process for
evaluating claims about a population
An important area of inferential
statistics
A procedure where claims about the
value of a population parameter may
be investigated using t
CHAPTER 6
THE NORMAL DISTRIBUTION
6.1 NORMAL DISTRIBUTIONS
Many types of data will form a graph that is bell
shaped. These types of graphs are called normal
curves.
There are many data sets described by natural
phenomena whose graphs produce normal curves
MT 114 STATISTICS AND PROBABILITY
REVIEW: CHAPTERS 1 AND 2
Determine whether the given value is a statistic or a parameter.
1) A sample of 120 employees of a company is selected, and the average age is found to be 37
years.
A) Statistic
B) Parameter
1)
2)
Solving Standard Normal Curve
Problem
Step 1
Draw the bell shaped curve
Step 2
Write the mean and standard
deviation
Step 3
Put value on the graph and label
Step 4
Find the z score for the data value
Step 5
Use the table
Step 6
Use 1-value if finding abov
3.3 Measures of Central Tendency and Dispersion from Grouped
Data
Example: The following data represent the number of live multiple-births
(three or more babies) in 2012 for women 15 to 54 years old.
A. Approximate the mean and population standard deviati
CHAPTER 1 The Nature of Probability and Statistics
STATISTICS is involved withDATA
Collecting data
Classifying data
Summarizing data
Analyzing data
Presenting data
Drawing conclusions about data
STATISTICS may be thought of as the science of data
ex
Ch. 2 Statistical Graphs
Frequency Polygon
Uses line segments connected to
points located directly above class
midpoint values.
Relative Frequency Polygon
Same as frequency polygon except
uses relative frequencies for the
vertical scale.
Ogive
A line g
Many decisions in business, insurance, and
other real-life situations are made by
assigning probabilities to all possible
outcomes pertaining to the situation and
then evaluating the results.
Chapter 5 Discrete Probability Distributions
5.1 Probability Di
7.3 Confidence Intervals and Sample
Size for Proportions
LESSON OBJECTIVE:
To determine the confidence interval for a
proportion
As we know, a proportion represents a part
of a whole.
For example, 35% of the students in the
automotive class were female.
W
Chapter 3 Data Description
3.1 Measures of Central Tendency
Consider the following data set: (119 #9)
Garbage Collection The amount of garbage in millions of tons
collected over a 16-year period is shown.
29.7
48
58.4
37.9
47.3
57.2
55.8
43.5
32.9
53.7
46
7.2 Confidence Intervals for the Mean When is Unknown
Most of the time the value of is UNKNOWN. As a result, we
estimate by using the best point estimate, s (the sample
standard deviation).
When s is used, especially when the sample size is small (n < 30)
5.3 The Binomial Distribution
Consider the following problem:
A coin is tossed 3 times. Find the
probability of getting exactly two heads.
cfw_HHH, HHT, HTH, HTT, TTT, TTH, THT,
THH
NOTE: The sample space took order into
consideration.
Problems like these
Chapter 8 Hypothesis Testing
Hypothesis Testing a decision-making process for evaluating
claims about a population
an important area of inferential
statistics
a procedure where claims about the
value of a population parameter may be
investigated using t
CHAPTER 7 CONFIDENCE
INTERVALS AND SAMPLE SIZE
A confidence interval is a range of
numbers that would potentially
capture the parameter
Estimations play a very important
role in Inferential Statistics. The
decisions that are frequently made by
either indi
7.2 Confidence Intervals for the Mean When is
Unknown
Most of the time the value of is UNKNOWN. As a
result, we estimate by using the best point estimate, s
(the sample standard deviation).
When s is used, especially when the sample size is small
(n < 30)
MT 114 ELEMENTARY STATISTICS AND PROBABILITY
CH. 2 STATISTICAL GRAPHS
1. For a recent year, the number of murders in 25 selected cities is shown. Use the data to answer the
following questions.
248
348
74
514
597
270
71
226
41
39
366
73
241
46
34
149
68
7
Ch. 2 Statistical Graphs
Frequency Polygon
Uses line segments connected
to points located directly above
class midpoint values.
Relative Frequency Polygon
Same as frequency polygon
except uses relative
frequencies for the vertical
scale.
Ogive
A line g
Chapter 4 Probability and Counting Rules
4.1 Sample Spaces and Probability
The study of probability focuses on measuring the
likelihood of an event occurring.
Probability plays an extremely important role in
Statistics, especially inferential statistics.
4.1
4. Events that have the exact same probabilities
5. Sample Space
6. 100% or close to it
7. 0
8. 100%
9. .80 and no dont bring an umbrella
10. c. and e. and h. and d.
11. a. classical b. subjective c. classical d. empirical
12. a. empirical b. subjecti
Chapter 3 Data Description
3.1 Measures of Central Tendency
Consider the following data set: (119 #9)
Garbage Collection
The amount of garbage in millions of tons
collected over a 16-year period is shown.
29.7
48
58.4
37.9
47.3
57.2
55.8
43.5
32.9
53.7
46
MT 114 ELEMENTARY STATISTICS AND PROBABILITY
CH. 2 STATISTICAL GRAPHS
1.
For a recent year, the number of murders in 25 selected cities is shown. Use the data to answer
the following questions.
248
270
366
149
109
348
71
73
68
598
74
226
241
73
278
514
41